document.write( "Question 348108: It takes a computer 8 days to print all of personalized letters for a national sweepstakes. A new computer is purchased that can do the same job in 5 days. How long would it take to do the job with both computers working on it? \n" ); document.write( "
Algebra.Com's Answer #248918 by stanbon(75887) ![]() You can put this solution on YOUR website! It takes a computer 8 days to print all of personalized letters for a national sweepstakes. A new computer is purchased that can do the same job in 5 days. How long would it take to do the job with both computers working on it? \n" ); document.write( "---- \n" ); document.write( "Older computer rate = 1/8 job/day \n" ); document.write( "--- \n" ); document.write( "new computer rate = 1/5 job/day \n" ); document.write( "----- \n" ); document.write( "Let together rate = 1/x \n" ); document.write( "=============================== \n" ); document.write( "Equation: \n" ); document.write( "rate + rate = together rate \n" ); document.write( "1/8 + 1/5 = 1/x \n" ); document.write( "5x + 8x = 40 \n" ); document.write( "13x = 40 \n" ); document.write( "x = 40/13 = 3.08 days (time working together) \n" ); document.write( "===================================================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |